Question

A tile is chosen at random from a bag containing the following tiles: 7 blue, 3 green, 6 yellow, and 5 purple. Let P be the probability distribution defined on the set {blue, green, yellow, purple}. Write each probability rounded to the nearest hundredth

P(blue)=_____
P(green)=_____
P(purple)=_____
P(yellow)=_____

Answer 1

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

According to the question

7 + 3 + 6 + 5 = 21 in a bag

`P(blue) = (7C_1)/(21C_1) \\\\=(7)/(21) \\\\=(1)/(3) \\\\= 0.33`

`P(green) = (3C_1)/(21C_1) \\\\= (3)/(21) \\\\=(1)/(7) \\\\= 0.14`

`P(yellow)=(6C_1)/(21C_1) \\\\=(6)/(21)\\\\=(2)/(7) \\\\=0.29`

`P(purple) = (5C_1)/(21C_1) \\\\=(5)/(21) \\\\=0.24`

Answer 2

P(blue) = 0.33

P(green) = 0.14

P(purple) = 0.24

P(yellow) = 0.29

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

7+3+6+5 = 21 tils.

7 of them are blue. So

P(blue) = 7/21 = 0.33

3 of them are green. So

P(green) = 3/21 = 0.14

6 of them are yellow. So

P(yellow) = 6/21 = 0.29

5 of them are purple. So

P(purple) = 5/21 = 0.24